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Finding the Third Proportional to 66,098 and 102,385

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Solution

The third proportional to 66,098 and 102,385 is: 158,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,098 : 102,385 = 102,385 : x
  2. Step 2: Convert to fraction form
    66,098/102,385 = 102,385/x
  3. Step 3: Cross multiply
    66,098x = 102,385 × 102,385
  4. Step 4: Simplify right side
    66,098x = 10,482,688,225
  5. Step 5: Solve for x
    x = 10,482,688,225/66,098
  6. Step 6: Final answer
    x = 158,593.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.